Which measure of dispersion is most affected by extreme values? Variance Range Mean Deviation Interquartile Range
Question
Which measure of dispersion is most affected by extreme values? Variance Range Mean Deviation Interquartile Range
Solution
The measure of dispersion that is most affected by extreme values is the Range. This is because the range is calculated as the difference between the highest and the lowest value in the data set. Therefore, if there is an extremely high or low value, it will significantly affect the range. The other measures of dispersion, Variance, Mean Deviation, and Interquartile Range, are also affected by extreme values, but not as much as the Range.
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